Item Discrimination and Type I Error in the Detection of Differential Item Functioning
In 2009, DeMars stated that when impact exists there will be Type I error inflation, especially with larger sample sizes and larger discrimination parameters for items. One purpose of this study is to present the patterns of Type I error rates using Mantel–Haenszel (MH) and logistic regression (LR)...
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Veröffentlicht in: | Educational and psychological measurement 2012-10, Vol.72 (5), p.847-861 |
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creator | Li, Yanju Brooks, Gordon P. Johanson, George A. |
description | In 2009, DeMars stated that when impact exists there will be Type I error inflation, especially with larger sample sizes and larger discrimination parameters for items. One purpose of this study is to present the patterns of Type I error rates using Mantel–Haenszel (MH) and logistic regression (LR) procedures when the mean ability between the focal and reference groups varies from zero to one standard deviation. The findings can be used as guides for alpha adjustment when using MH or LR methods when impact exists. A second purpose is to better understand the conditions that cause Type I error rates to inflate. The results indicate that inflation can be controlled even in the presence of large ability differences and with large samples. |
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Psychology ; Item Response Theory ; Mantel Haenszel Procedure ; Measurement errors ; Psychology. Psychoanalysis. Psychiatry ; Psychology. Psychophysiology ; Psychometrics ; Psychometrics. Statistics. Methodology ; Regression (Statistics) ; Sample size ; Simulation ; Standard deviation ; Statistical analysis ; Statistics. Mathematics ; Test Bias ; Test Items</subject><ispartof>Educational and psychological measurement, 2012-10, Vol.72 (5), p.847-861</ispartof><rights>The Author(s) 2012</rights><rights>2015 INIST-CNRS</rights><rights>Copyright SAGE PUBLICATIONS, INC. 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One purpose of this study is to present the patterns of Type I error rates using Mantel–Haenszel (MH) and logistic regression (LR) procedures when the mean ability between the focal and reference groups varies from zero to one standard deviation. The findings can be used as guides for alpha adjustment when using MH or LR methods when impact exists. A second purpose is to better understand the conditions that cause Type I error rates to inflate. The results indicate that inflation can be controlled even in the presence of large ability differences and with large samples.</description><subject>Biological and medical sciences</subject><subject>Educational psychology</subject><subject>Error of Measurement</subject><subject>Fundamental and applied biological sciences. Psychology</subject><subject>Item Response Theory</subject><subject>Mantel Haenszel Procedure</subject><subject>Measurement errors</subject><subject>Psychology. Psychoanalysis. Psychiatry</subject><subject>Psychology. Psychophysiology</subject><subject>Psychometrics</subject><subject>Psychometrics. Statistics. Methodology</subject><subject>Regression (Statistics)</subject><subject>Sample size</subject><subject>Simulation</subject><subject>Standard deviation</subject><subject>Statistical analysis</subject><subject>Statistics. 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Psychology</topic><topic>Item Response Theory</topic><topic>Mantel Haenszel Procedure</topic><topic>Measurement errors</topic><topic>Psychology. Psychoanalysis. Psychiatry</topic><topic>Psychology. Psychophysiology</topic><topic>Psychometrics</topic><topic>Psychometrics. Statistics. Methodology</topic><topic>Regression (Statistics)</topic><topic>Sample size</topic><topic>Simulation</topic><topic>Standard deviation</topic><topic>Statistical analysis</topic><topic>Statistics. Mathematics</topic><topic>Test Bias</topic><topic>Test Items</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Li, Yanju</creatorcontrib><creatorcontrib>Brooks, Gordon P.</creatorcontrib><creatorcontrib>Johanson, George A.</creatorcontrib><collection>ERIC</collection><collection>ERIC (Ovid)</collection><collection>ERIC</collection><collection>ERIC</collection><collection>ERIC (Legacy Platform)</collection><collection>ERIC( SilverPlatter )</collection><collection>ERIC</collection><collection>ERIC PlusText (Legacy Platform)</collection><collection>Education Resources Information Center (ERIC)</collection><collection>ERIC</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><jtitle>Educational and psychological measurement</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Li, Yanju</au><au>Brooks, Gordon P.</au><au>Johanson, George A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><ericid>EJ982330</ericid><atitle>Item Discrimination and Type I Error in the Detection of Differential Item Functioning</atitle><jtitle>Educational and psychological measurement</jtitle><date>2012-10-01</date><risdate>2012</risdate><volume>72</volume><issue>5</issue><spage>847</spage><epage>861</epage><pages>847-861</pages><issn>0013-1644</issn><eissn>1552-3888</eissn><coden>EPMEAJ</coden><abstract>In 2009, DeMars stated that when impact exists there will be Type I error inflation, especially with larger sample sizes and larger discrimination parameters for items. 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subjects | Biological and medical sciences Educational psychology Error of Measurement Fundamental and applied biological sciences. Psychology Item Response Theory Mantel Haenszel Procedure Measurement errors Psychology. Psychoanalysis. Psychiatry Psychology. Psychophysiology Psychometrics Psychometrics. Statistics. Methodology Regression (Statistics) Sample size Simulation Standard deviation Statistical analysis Statistics. Mathematics Test Bias Test Items |
title | Item Discrimination and Type I Error in the Detection of Differential Item Functioning |
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